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Finding the Third Proportional to 532,420 and 1,153,364

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Solution

The third proportional to 532,420 and 1,153,364 is: 2,498,494.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,420 : 1,153,364 = 1,153,364 : x
  2. Step 2: Convert to fraction form
    532,420/1,153,364 = 1,153,364/x
  3. Step 3: Cross multiply
    532,420x = 1,153,364 × 1,153,364
  4. Step 4: Simplify right side
    532,420x = 1,330,248,516,496
  5. Step 5: Solve for x
    x = 1,330,248,516,496/532,420
  6. Step 6: Final answer
    x = 2,498,494.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.